Height and Distance Trig

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 44 feet 

• 110 feet 

• 135 feet 

Find side AB?

• 20 m

• 5 m

• 11.54 m

• 8.66 m

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. Would you estimate the distance from the tree branch to the mouse to be less than, greater than, or equal to 15ft? 

• greater than 15ft

• less than 15ft

• equal to 15ft

• A
• B
• C
• D

Solve for the missing angle.

• 50.1

• 0.0532

• 36.9

• 95.0

Solve for the missing distance.

• 18.9

• 19.5

• 47.3

• 27.5

Find the measure of the indicated angle.

• 9.39

• 55.2

• 20.2

• 19.4

Solve for x. 

• 44.0

• 41.4

• 1.12

• 0.723

Solve for x. 

• 104

• 34.6

• 55.0

• 23.4

Solve for x. 

• 9.85

• 4.74

• 0.0308

• 9.87